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Finding the Fourth Proportional to 644.68, 965.12 and 400.46

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Solution

The fourth proportional to 644.68, 965.12 and 400.46 is: 599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.68 : 965.12 = 400.46 : x
  2. Step 2: Convert to fraction form
    644.68/965.12 = 400.46/x
  3. Step 3: Cross multiply
    644.68x = 965.12 × 400.46
  4. Step 4: Simplify right side
    644.68x = 386,491.96
  5. Step 5: Solve for x
    x = 386,491.96/644.68
  6. Step 6: Final answer
    x = 599.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.